K_(2n-1)×K_(2n+1)'的邻点可区别全染色

The Vertex-Distinguishing Total Coloring of Adjacent K_(2n-1)×K_(2n+1)′

基于完全图的全染色和邻强边染色,得到了相邻奇数阶完全图的直积图K2n-1×K2n+1'的邻点可区别全色数χat(K2n-1×K2n+1')=4n(n为正整数).

In this paper,the adjacent vertex-distinguishing total coloring number on K2n-1×K2n＋1′ was obtained in view of the total coloring and the adjacent strong edge coloring of Complete graphs.It is proved that at（K2n-1×K2n＋1′） is 4n.